Nucleon tensor charges in the SU(2) chiral quark-soliton model
Hyun-Chul KimInstitute for Theoretical Physics II, P.O. Box 102148, Ruhr-University Bochum, D-44780 Bochum, GermanyMaxim V. PolyakovInstitute for Theoretical Physics II, P.O. Box 102148, Ruhr-University Bochum, D-44780 Bochum, GermanyK. GoekeInstitute for Theoretical Physics II, P.O. Box 102148, Ruhr-University Bochum, D-44780 Bochum, Germany
1996en
ABI
Abstract
We investigate the singlet ${g}_{T}^{(0)}$ and isovector ${g}_{T}^{(3)}$ tensor charges of the nucleon, which are deeply related to the first moment of the leading twist transversity quark distribution ${h}_{1}(x)$, in the SU(2) chiral quark-soliton model. With rotational $O(\frac{1}{{N}_{c}})$ corrections taken into account, we obtain ${g}_{T}^{(0)}=0.69$ and ${g}_{T}^{(3)}=1.45$ at a low normalization point of several hundreds MeV. Within the same approximation and parameters the model yields ${g}_{A}^{(0)}=0.36$, ${g}_{A}^{(3)}=1.21$ for axial charges and a correct octet-decuplet mass splitting. We show how the chiral quark-soliton model interpolates between the nonrelativistic quark model and the Skyrme model.
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Cited by 20 references